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2 years ago

What is the completely factored form of 25x4 – 16y2?

2 answers:

6 0

Das is difference of 2 perfect squares
remember
a^2-b^2=(a-b)(a+b)

so
25x^4=(5x^2)^2
16y^2=(4y^2)

(5x^2)^2-(4y)^2=(5x^2-4y)(5x+4y)
cannot be factored further

Sveta_85 [38]2 years ago

3 0

Answer:

$(5x^{2} + 4y),(5x^{2} - 4y)$

Step-by-step explanation:

Given : $25x^{4} - 16y^{2}$ .

To find : What is the completely factored form .

Solution : We have given $25x^{4} - 16y^{2}$ .

We can write it as

$(5x^{2})^{2} - (4y)^{2}$

Using the identity $a^{2} - b^{2} = (a+b) (a-b)$ .

Here, a = $(5x^{2})$ , b = $(4y)$ .

Then ,

$(5x^{2})^{2} - (4y)^{2}$ = $(5x^{2} + 4y) , (5x^{2} - 4y)$

Therefore, $(5x^{2} + 4y),(5x^{2} - 4y)$

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1 year ago

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2 years ago

Solve for x. Round your answer to the nearest hundredth.

Vinil7 [7]

Answer:

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3 years ago

Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.

Llana [10]

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

${c}^{2} = {a}^{2} + {b}^{2}$

Let a = 12 units,

Let b = 9 units,

Let c = hypo.,

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${hypo.}^{2} = 225$

$hypo. = \sqrt{225}$

$hypo. = 15 \: \: units$

We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :

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6 0

3 years ago

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Step-by-step explanation:

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$D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)$